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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-ex | Unicode version |
Description: Existential generalization. (Contributed by BJ, 8-Dec-2019.) Proof modification is discouraged because there are shorter proofs, but using less basic results (like exlimiv 1489 and 19.9ht 1532 or 19.23ht 1386). (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-ex |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-ie2 1383 | . . 3 | |
2 | ax-17 1419 | . . 3 | |
3 | 1, 2 | mpg 1340 | . 2 |
4 | id 19 | . 2 | |
5 | 3, 4 | mpgbi 1341 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wal 1241 wex 1381 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-gen 1338 ax-ie2 1383 ax-17 1419 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: bj-d0clsepcl 10049 bj-inf2vnlem1 10095 bj-nn0sucALT 10103 |
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